On 9/6/07, Bill Hart <[EMAIL PROTECTED]> wrote:
> The question is, which algorithm does SAGE currently use?

For class groups?  If so, it uses pari, then calls the
bnfcertify command after doing the computation.

> Does it
> really provide a proven result?

Assuming pari works correctly.

>  Is it proven to terminate?

I don't know.

>  Can it
> provide a certificate that I can check in less time than doing the
> computation again?

I don't know.

> How can I be sure the result is valid?

You can't really.

> Anyhow, whatever algorithm or level of rigour is used, it is clear we
> need to make it *much* faster. That's the problem I'm most interested
> in of course.

That's the spirit!

William

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